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Simplifying 2(b + 3.5) = 13 + -2b Reorder the terms: 2(3.5 + b) = 13 + -2b (3.5 * 2 + b * 2) = 13 + -2b (7 + 2b) = 13 + -2b Solving 7 + 2b = 13 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 7 + 2b + 2b = 13 + -2b + 2b Combine like terms: 2b + 2b = 4b 7 + 4b = 13 + -2b + 2b Combine like terms: -2b + 2b = 0 7 + 4b = 13 + 0 7 + 4b = 13 Add '-7' to each side of the equation. 7 + -7 + 4b = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = 13 + -7 4b = 13 + -7 Combine like terms: 13 + -7 = 6 4b = 6 Divide each side by '4'. b = 1.5 Simplifying b = 1.5
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